Question

A=(2,3) B=(4,5)

Find vector equation of staraight line parallel to vector B and passing through point A hence obtain cartesian equation
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Answer 1

`r= a + \lambda \: b \\ vector \: equation : \\ \binom{x}{y} = \binom{2}{3} + \lambda \: \binom{2}{2} \\ cartesian \: equation : \\ (x - 2)/(2) = (y - 3)/(2) = \lambda`